“…56,77 The analysis of the conductivity spectra for the lanthanide-doped (Ln = Sm 3+ and La 3+ ) and undoped BZT compound shows two plateau regions corresponding to the grain (low frequency) and grain boundary (high frequency) contribution and a single power law is not sufficient to explain its conduction mechanism. Therefore, the conductivity behavior of these three systems (BZT, BSmZT and BLaZT) can be explained by the modified Jonscher power law, 58,70 given below. σ ( ω ) = σ ac + A 1 ω n 1 + A 2 ω n 2 where, σ ( ω ) represents the total conductivity, σ dc is the dc conductivity arise, A 1 ω n 1 and A 2 ω n 2 mean the charge carrier transport properties (polarons, electrons and ions) of the grain and the joined grain in the BZT, BSmZT and BLaZT ceramic, respectively.…”